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55534440 = 23351397367
BaseRepresentation
bin1101001111011…
…0001101101000
310212111102221010
43103312031220
5103204100230
65302143520
71243014663
oct323661550
9125442833
1055534440
1129390935
1216721ba0
13b675520
1475386da
154d1e9b0
hex34f6368

55534440 has 128 divisors (see below), whose sum is σ = 181762560. Its totient is φ = 13492224.

The previous prime is 55534411. The next prime is 55534441. The reversal of 55534440 is 4443555.

It is a super-2 number, since 2×555344402 = 6168148052227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 55534398 and 55534407.

It is not an unprimeable number, because it can be changed into a prime (55534441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151137 + ... + 151503.

It is an arithmetic number, because the mean of its divisors is an integer number (1420020).

Almost surely, 255534440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55534440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90881280).

55534440 is an abundant number, since it is smaller than the sum of its proper divisors (126228120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55534440 is a wasteful number, since it uses less digits than its factorization.

55534440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 55534440 is about 7452.1433158522. The cubic root of 55534440 is about 381.5230655041.

Adding to 55534440 its reverse (4443555), we get a palindrome (59977995).

The spelling of 55534440 in words is "fifty-five million, five hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 97 104 120 130 156 194 195 260 291 312 367 388 390 485 520 582 734 776 780 970 1101 1164 1261 1455 1468 1560 1835 1940 2202 2328 2522 2910 2936 3670 3783 3880 4404 4771 5044 5505 5820 6305 7340 7566 8808 9542 10088 11010 11640 12610 14313 14680 15132 18915 19084 22020 23855 25220 28626 30264 35599 37830 38168 44040 47710 50440 57252 71198 71565 75660 95420 106797 114504 142396 143130 151320 177995 190840 213594 284792 286260 355990 427188 462787 533985 572520 711980 854376 925574 1067970 1388361 1423960 1851148 2135940 2313935 2776722 3702296 4271880 4627870 5553444 6941805 9255740 11106888 13883610 18511480 27767220 55534440